منابع مشابه
Ergodic and Mixing Properties of the Boussinesq Equations with a Degenerate Random Forcing
We establish the existence, uniqueness and attraction properties of an ergodic invariant measure for the Boussinesq Equations in the presence of a degenerate stochastic forcing acting only in the temperature equation and only at the largest spatial scales. The central challenge is to establish time asymptotic smoothing properties of the Markovian dynamics corresponding to this system. Towards t...
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A family of Boussinesq systems was proposed by J. L. Bona, M. Chen and J.-C. Saut to describe the two-way propagation of small amplitude gravity waves on the surface of water in a canal. Our work considers a class of these Boussinesq systems which couples two Benjamin-Bona-Mahony type equations posed on a bounded interval. We study the stabilization of the resulting system when a localized damp...
متن کاملGlobal Well-posedness for Euler-boussinesq System with Critical Dissipation
In this paper we study a fractional diffusion Boussinesq model which couples the incompressible Euler equation for the velocity and a transport equation with fractional diffusion for the temperature. We prove global well-posedness results.
متن کاملNumerical solution of the 'classical' Boussinesq system
We consider the ‘classical’ Boussinesq system of water wave theory, which belongs to the class of Boussinesq systems modelling two-way propagation of long waves of small amplitude on the surface of water in a horizontal channel. (We also consider its completely symmetric analog). We discretize the initial-boundary-value problem for these systems, corresponding to homogeneous Dirichlet boundary ...
متن کاملNew soliton solutions for Kaup-Boussinesq system
In this Letter, we study Kaup-Boussinesq system by using the wellknown He’s variational approach. In fact, the He’s variational method is a promising method to various systems of linear and nonlinear equations.
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2020
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-020-02084-4